Now showing items 1-10 of 10

    • Aggregation of individual rankings through fusion functions: criticism and optimality analysis 

      Bustince Sola, Humberto Upna Orcid; Bedregal, Benjamin Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Silva, Ivanoska da; Fernández Fernández, Francisco Javier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid; Santiago, Regivan (IEEE, 2020)   Artículo / Artikulua  OpenAccess
      Throughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract ...
    • Decomposition and arrow-like aggregation of fuzzy preferences 

      Raventós Pujol, Armajac Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid (MDPI, 2020)   Artículo / Artikulua  OpenAccess
      We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference. In this ...
    • Fuzzy Arrovian theorems when preferences are strongly-connected 

      Raventós Pujol, Armajac Upna Orcid (University of Sistan and Baluchestan, 2022)   Artículo / Artikulua  OpenAccess
      In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of strongly-connected preferences in which the ...
    • Geometrical aggregation of finite fuzzy sets 

      Campión Arrastia, María Jesús Upna Orcid; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna Orcid; Lizasoain Iriso, María Inmaculada Upna Orcid; Raventós Pujol, Armajac Upna Orcid; Valero, Óscar (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical ...
    • Multidistances and inequality measures on abstract sets: an axiomatic approach 

      Campión Arrastia, María Jesús Upna Orcid; Díaz, Irene; Induráin Eraso, Esteban Upna Orcid; Martín, Javier; Mayor, Gaspar; Montes Rodríguez, Susana; Raventós Pujol, Armajac Upna Orcid (Elsevier, 2021)   Artículo / Artikulua  OpenAccess
      Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among ...
    • Representation and aggregation of crisp and fuzzy ordered structures: applications to social choice 

      Raventós Pujol, Armajac Upna Orcid (2021)   Tesis doctoral / Doktoretza tesia  OpenAccess
      The present memory is structured as follows: after the Introduction, in the Chapter 2 of preliminaries, we will pay attention to the three areas which sustain the development of this thesis. These are, binary relations, ...
    • A survey on the mathematical foundations of axiomatic entropy: representability and orderings 

      Campión Arrastia, María Jesús Upna Orcid; Gómez Polo, Cristina Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid (MDPI, 2018)   Artículo / Artikulua  OpenAccess
      Different abstract versions of entropy, encountered in science, are interpreted in the light of numerical representations of several ordered structures, as total-preorders, interval-orders and semiorders. Intransitivities, ...
    • Topologies for semicontinuous Richter–Peleg multi-utilities 

      Bosi, Gianni; Estevan Muguerza, Asier Upna Orcid; Raventós Pujol, Armajac Upna Orcid (Springer, 2020)   Artículo / Artikulua  OpenAccess
      The present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite ...
    • Unexpected thresholds from independence of irrelevant alternatives in fuzzy arrow theorems 

      Raventós Pujol, Armajac Upna Orcid (2019)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      It is well known Arrow Theorem and its impact into Social Choice. It states that under an apparently mild set of conditions no rule fusing individual preferences into a social one is possible. In order to solve this ...
    • Why using topological and analytical methods in aggregation of fuzzy preferences? 

      Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid (2020)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      The Arrow’s Impossibility Theorem states that there is no function fusing individual preferences into a social one satisfying certain properties of 'common sense'. On the contrary, in some of the fuzzy extensions of the ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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